Existence and dimension of the set of mild solutions to semilinear fractional differential inclusions

Ravi P. Agarwal; Bashir Ahmad; Ahmad Alsaedi; Naseer Shahzad; Nadia Shahzad

doi:10.1186/1687-1847-2012-74

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$Existence and dimension of the set of mild solutions to semilinear fractional differential inclusions$

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Existence and dimension of the set of mild solutions to semilinear fractional differential inclusions

Ravi P. Agarwal, Bashir Ahmad, Ahmad Alsaedi, Naseer Shahzad and Nadia Shahzad

Advances in difference equations, Vol.2012(1), pp.1-10

31/05/2012

DOI: https://doi.org/10.1186/1687-1847-2012-74

Abstract

Mathematics

Mathematics, Applied

Physical Sciences

Science & Technology

This article studies the existence and dimension of the set for mild solutions of semilinear fractional differential inclusions. We recall and prove some new results on multivalued maps to establish our main results. MSC 2010: 34A12; 34A40.

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Title: Existence and dimension of the set of mild solutions to semilinear fractional differential inclusions
Creators - without role: Ravi P. Agarwal - Texas A&M University – Kingsville
Bashir Ahmad - King Abdulaziz University
Ahmad Alsaedi - King Abdulaziz University
Naseer Shahzad - King Abdulaziz University
Nadia Shahzad - King Abdulaziz University
Publication Details: Advances in difference equations, Vol.2012(1), pp.1-10
Publisher: Springer Nature
Number of pages: 10
Grant note: 08/31/Gr / King Abdulaziz University, Jeddah
Identifiers: 9934924008331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article